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Simplifying Solvex(2x + -1)(x + 4) = 0 Reorder the terms: elovxS(-1 + 2x)(x + 4) = 0 Reorder the terms: elovxS(-1 + 2x)(4 + x) = 0 Multiply (-1 + 2x) * (4 + x) elovxS(-1(4 + x) + 2x * (4 + x)) = 0 elovxS((4 * -1 + x * -1) + 2x * (4 + x)) = 0 elovxS((-4 + -1x) + 2x * (4 + x)) = 0 elovxS(-4 + -1x + (4 * 2x + x * 2x)) = 0 elovxS(-4 + -1x + (8x + 2x2)) = 0 Combine like terms: -1x + 8x = 7x elovxS(-4 + 7x + 2x2) = 0 (-4 * elovxS + 7x * elovxS + 2x2 * elovxS) = 0 (-4elovxS + 7elovx2S + 2elovx3S) = 0 Solving -4elovxS + 7elovx2S + 2elovx3S = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'elovxS'. elovxS(-4 + 7x + 2x2) = 0 Factor a trinomial. elovxS((-4 + -1x)(1 + -2x)) = 0Subproblem 1
Set the factor 'elovxS' equal to zero and attempt to solve: Simplifying elovxS = 0 Solving elovxS = 0 Move all terms containing e to the left, all other terms to the right. Simplifying elovxS = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing e to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Add 'x' to each side of the equation. -1x + x = 4 + x Combine like terms: -1x + x = 0 0 = 4 + x Simplifying 0 = 4 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Add '2x' to each side of the equation. -2x + 2x = -1 + 2x Combine like terms: -2x + 2x = 0 0 = -1 + 2x Simplifying 0 = -1 + 2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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